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It's a compile-time option: DEFAULT_FLASH_*_VERSION and DEFAULT_FLASH_REV_NUMBER, in gnashconfig.h

There is also a gnashrc directive "flashVersionString" but I think the plugin does not make use of that, so javascript driven checks will only see the compile-time option.

It's a pending task to allow the plugin to initialize its view of version by asking the standalone player about it (which would in turn parse the gnashrc options).

Unfortunately I hadn't found any ticket with this task, so it only exist in my brain.

How you can help:

1. File a ticket asking for the plugin to honour the gnashrc setting about the version string
2. Provide pointers to flash-version-detection scripts to use as tests
3. Provide automated tests
4. Implement the thing

Note that the version string expected to be output by the plugin is slighly different than the one expected to be available via ActionScript System.version

It's simple problem, then please forgive if it has been told.
Some of sites using flash checks what version of flash, for example niconico. Maybe they requires over version 11.x ( My Adobe's plugin that 11.2r202 can play them ).
But it seems gnash player's version is 10.1 r999, so the sites tell me "Your flash player is old. Please update it.", and I can't watch the sites using gnash. I gnash.
It's simple but fatal problem. Then I want to ask you outstanding developers, "Can't you tell the version over 11.2?".